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∙ 13y agoUse the Law of Pythagoras to find the resultant vector. For the angle, you can use the arc-tangent. Or simply use the rectangular-->polar conversion, available on most scientific calculators.
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∙ 13y agoNo. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
Yes. Here is an example: Vector A: 10 units towards the right. Vector B: 9 units towards the left. This is the same as (-9) units to the right. A + B: 10 + (-9) = +1 units to the right. In fact, the resulting vector can be made arbitrarily small, if the two vectors are similar in size and point in opposite directions (or nearly so).
Yes. This is the basis of cartesian vector notation. With cartesian coordinates, vectors in 2D are represented by two vectors, those in 3D are represented by three. Vectors are generally represented by three vectors, but even if the vector was not in an axial plane, it would be possible to represent the vector as the sum of two vectors at right angles to eachother.
Answer: There are no "pseudo vectors" there are pseudo "rules". For example the right hand rule for vector multiplication. If you slip in the left hand rule then the vector becomes a pseudo vector under the right hand rule. Answer: A pseudo vector is one that changes direction when it is reflected. This affects all vectors that represent rotations, as well as, in general, vectors that are the result of a cross product.
When you resolve a vector, you replace it with two component vectors, usually at right angles to each other. The resultant is a single vector which has the same effect as a set of vectors. In a sense, resolution and resultant are like opposites.
The resultant force would be the difference between the two forces, taking into account their directions. If the magnitudes of the forces are equal, the resultant force would be zero. If one force is greater than the other, the resultant force would be in the direction of the greater force.
The two vectors form the minor legs of a right angled triangle and the resultant is the hypotenuse of the triangle. Its magnitude, therefore, is the square root of the sum of the squared magnitudes of the two vectors.
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
To add vectors by rectangular components, simply add the corresponding components of each vector. For example, if vector A has components (Ax, Ay) and vector B has components (Bx, By), then the sum of the two vectors can be found by adding the x-components (Ax + Bx) and the y-components (Ay + By) to obtain the resultant vector.
The resultant displacement would be the diagonal of a right triangle with sides of 1 mile and 12 miles. If we label the 1 mile as vector a and the 12 mile as vector b, the resultant displacement (vector c) would be the hypotenuse of the triangle formed by vectors a and b.
The outcome is called the resultant no matter what angle At right angles the resultant is calculated a the hypotenuse of the triangle with each vector as sides
You can do it graphically by drawing the vectors with the end of the first touching the beginning of the second, the end of the second touching the beginning of the third, and so on, being careful to maintain the direction and the scale of the magnitude of each. The resultant is then the vector that starts at the beginning of the first vector and ends at the end of the last vector. You should get the same resultant no matter what order you put the vectors in. You can do it matematically by trigonometrically separating each vector into its x and y components, adding together all the x's and adding together all the y's, then calculating the resultant. Think of each vector as the hypotenuse of a right triangle. After adding together the x's and y's, the two sums are the two sides of a right triangle whose hypotenuse is the resultant.
Yes. Any number of vectors, two or more, can result in zero, if their magnitudes and directions are just right. One vector can result in zero only if its magnitude is zero.
false
Let two equal magnitude vectors be 'X'.. Then, resultant=1.414X
Yes. Here is an example: Vector A: 10 units towards the right. Vector B: 9 units towards the left. This is the same as (-9) units to the right. A + B: 10 + (-9) = +1 units to the right. In fact, the resulting vector can be made arbitrarily small, if the two vectors are similar in size and point in opposite directions (or nearly so).